Pair of Linear Equations in Two Variables [IMO Level 1- Mathematics Olympiad (SOF) Class 10]: Questions 55 - 59 of 83

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Question 55

Question MCQ▾

A boat goes 40 km upstream and 55 km downstream in 20 hours. In 23 hours, it can go 50 km upstream and 66 km downstream. If x represents the speed of the boat in still water in km/hr and y represent the speed of the stream in km/hr, then ________

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 56

Question MCQ▾

The sum of a two digit number and the number obtained by interchanging the digits of the number is 88. If the digits of the number differ by 6, then numbers are ________

Choices

Choice (4)Response

a.

43,34

b.

71,17

c.

41,14

d.

65,56

Edit

Question 57

Question MCQ▾

Places and are 300 km apart from each other on a national highway. A car starts from and another from at the same time. If they go in the same direction then they meet in 15 hours and if they go in opposite directions they meet in hours. The speed of the cars are ________

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 58

Question MCQ▾

The solution of the system of equations and , is ________

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 59

Question MCQ▾

The value of k for which the system of equations , has infinite number of solutions, is ________

Choices

Choice (4)Response

a.

0

b.

7

c.

6

d.

2

Edit